Constructing entire functions with wandering domains

一、报告题目 Constructing entire functions with wandering domains 二、主讲人 Leticia Pardo-Simón (The University of Manchester, UK) 三、报告时间 2024年1月5日 16：00–17:00 四、报告地点 Zoom会议号：920 917 2510  五、摘要 Let f be a transcendental entire function, that is, a non-polynomial holomorphic self-map of the complex plane. Transcendental dynamics studies what happens to a point z under repeated iteration of the function f. In particular, points might belong to wandering domains, that is, open ‘maximal’ regions of stability whose images under iteration are all disjoint from each other. In this talk I will discuss how recent techniques based on approximation theory allow us to construct a wide range of examples: from wandering domains that remain in a bounded part of the plane for ‘almost all iterates’ to those that converge to infinity ‘as fast as possible’. This is based on joint work with A. Glücksam, V. Evdoridou and D. Sixsmith. 六、主讲人简介 Leticia Pardo-Simón is currently a research fellow in mathematics at The University of Manchester (UK). Previously, she held postdoctoral positions at MSRI (USA) and at the Polish Academy of Sciences (Poland) and completed her PhD at the University of Liverpool (UK) in 2019. Her research mainly focuses on the iteration of transcendental entire maps, more specifically, on understanding the topology of their Julia sets, as well as on the existence of and properties of non-periodic Fatou components. Besides complex dynamics, she is also interested in complex analysis and fractal geometry. 七、主办单位 非线性期望前沿科学中心 数学与交叉科学研究中心 中俄数学中心青岛基地